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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.396. (page 559)

Simplify the expression.
${(\frac{5}{9})}^{- 2}$

Short Answer

Expert verified

The solution is $\frac{81}{25}$ .

Step by step solution

01

Step 1. Given information.

The given expression is ${(\frac{5}{9})}^{- 2}$ .

02

Step 2. Simplify the expression.

Solve it as follows:

${(\frac{5}{9})}^{- 2} = {(\frac{9}{5})}^{2} {(\frac{5}{9})}^{- 2} = \frac{9^{2}}{5^{2}} {(\frac{5}{9})}^{- 2} = \frac{81}{25}$

03

Step 3. Simplified answer.

Hence, the simplified expression is $\frac{81}{25}$ .

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